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Finding the Fourth Proportional to 750.11, 1,125.26 and 263.09

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Solution

The fourth proportional to 750.11, 1,125.26 and 263.09 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.11 : 1,125.26 = 263.09 : x
  2. Step 2: Convert to fraction form
    750.11/1,125.26 = 263.09/x
  3. Step 3: Cross multiply
    750.11x = 1,125.26 × 263.09
  4. Step 4: Simplify right side
    750.11x = 296,037.71
  5. Step 5: Solve for x
    x = 296,037.71/750.11
  6. Step 6: Final answer
    x = 394.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.